PRP Records

Probable Primes Top 10000

(301678 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 50000) Who ? When ?
90012^339000-175635102050Stefano Morozzi12/2021
90022^339000-151667102050Stefano Morozzi12/2021
90032^338999+79289102049Stefano Morozzi01/2022
90042^338998-63897102049Stefano Morozzi12/2022
90052^338997+99659102049Stefano Morozzi02/2023
90062^338994+188757102048Stefano Morozzi05/2022
90072^338995+70785102048Stefano Morozzi11/2022
90082^338994-12183102048Stefano Morozzi12/2022
90092^338992+181591102047Stefano Morozzi01/2022
90102^338992+136171102047Stefano Morozzi03/2022
90112^338991-109435102047Stefano Morozzi04/2022
90122^338991+193611102047Stefano Morozzi09/2022
90132^338988-134619102046Stefano Morozzi04/2022
90142^338987-62557102046Stefano Morozzi12/2022
90152^338986-60141102045Stefano Morozzi06/2022
90162^338986+98209102045Stefano Morozzi11/2022
90172^338981+106391102044Stefano Morozzi01/2022
90182^338982+34069102044Stefano Morozzi03/2022
90192^338982-58781102044Stefano Morozzi04/2022
90202^338980+70833102044Stefano Morozzi11/2022
90212^338982-92111102044Stefano Morozzi02/2023
90222^338977+83007102043Stefano Morozzi02/2022
90232^338979-83601102043Stefano Morozzi04/2022
90242^338975+28355102042Stefano Morozzi01/2022
90252^338973+134619102042Stefano Morozzi03/2022
90262^338974+183777102042Stefano Morozzi03/2022
90272^338975+69293102042Stefano Morozzi09/2022
903525080^11711+11711^25080102041Hans Havermann02/2019
90282^338972+152343102041Stefano Morozzi12/2021
90292^338972-180623102041Stefano Morozzi02/2022
90302^338972+84441102041Stefano Morozzi03/2022
90312^338971+64875102041Stefano Morozzi05/2022
90322^338971+44985102041Stefano Morozzi11/2022
90332^338971+145065102041Stefano Morozzi11/2022
90342^338972-16635102041Stefano Morozzi01/2023
90362^338968+53461102040Stefano Morozzi01/2022
90372^338969+160175102040Stefano Morozzi03/2022
90382^338967+13409102040Stefano Morozzi04/2022
90392^338969+67635102040Stefano Morozzi09/2022
90402^338969-15913102040Stefano Morozzi01/2023
90412^338963-127455102039Stefano Morozzi12/2021
90422^338963+132195102039Stefano Morozzi02/2022
90432^338966+137919102039Stefano Morozzi04/2022
90442^338963-87529102039Stefano Morozzi12/2022
90452^338963-116859102039Stefano Morozzi02/2023
9052(2^338982-7)/1754517102038Lelio R Paula12/2013
90462^338960+53935102038Stefano Morozzi01/2022
90472^338962+83157102038Stefano Morozzi02/2022
90482^338961+12341102038Stefano Morozzi04/2022
90492^338960+63933102038Stefano Morozzi05/2022
90502^338960+170791102038Stefano Morozzi11/2022
90512^338962+21679102038Stefano Morozzi11/2022
90532^338959-30919102037Stefano Morozzi02/2022
90542^338959+164769102037Stefano Morozzi05/2022
90552^338958-43161102037Stefano Morozzi02/2023
90562^338954-177003102036Stefano Morozzi12/2021
90572^338954+154207102036Stefano Morozzi01/2022
90582^338956+182493102036Stefano Morozzi02/2022
90592^338954+162715102036Stefano Morozzi04/2022
90602^338955-158241102036Stefano Morozzi04/2022
90612^338956-33395102036Stefano Morozzi04/2022
90622^338954+190915102036Stefano Morozzi06/2022
90632^338955+41643102036Stefano Morozzi09/2022
90642^338954+194427102036Stefano Morozzi09/2022
90652^338956+117967102036Stefano Morozzi09/2022
90662^338956+195495102036Stefano Morozzi11/2022
90672^338954-186371102036Stefano Morozzi12/2022
90682^338950+175077102035Stefano Morozzi12/2021
90692^338951-51687102035Stefano Morozzi12/2021
90702^338951+66123102035Stefano Morozzi06/2022
90712^338950+19317102035Stefano Morozzi09/2022
90722^338951-161479102035Stefano Morozzi12/2022
90732^338950-66335102035Stefano Morozzi01/2023
90742^338951-41611102035Stefano Morozzi02/2023
90752^338952-142887102035Stefano Morozzi02/2023
90762^338949+85449102034Stefano Morozzi03/2022
90772^338949-184585102034Stefano Morozzi04/2022
90782^338949-88555102034Stefano Morozzi12/2022
90792^338948+49393102034Stefano Morozzi02/2023
90802^338949-17601102034Stefano Morozzi02/2023
90812^338943+127103102033Stefano Morozzi12/2021
90822^338944-84003102033Stefano Morozzi04/2022
90832^338945+138605102033Stefano Morozzi05/2022
90842^338943+95133102033Stefano Morozzi11/2022
90852^338943+147435102033Stefano Morozzi11/2022
90862^338943-116067102033Stefano Morozzi01/2023
90872^338940+78607102032Stefano Morozzi01/2022
90882^338942-86687102032Stefano Morozzi12/2022
90892^338939+151569102031Stefano Morozzi12/2021
90902^338938+183975102031Stefano Morozzi03/2022
90912^338937-33429102031Stefano Morozzi04/2022
90922^338939-183259102031Stefano Morozzi04/2022
90932^338937-139951102031Stefano Morozzi01/2023
90942^338938-40151102031Stefano Morozzi01/2023
90952^338938+74449102031Stefano Morozzi02/2023
90962^338935+179999102030Stefano Morozzi01/2022
90972^338936+84147102030Stefano Morozzi03/2022
90982^338935+171261102030Stefano Morozzi11/2022
90992^338936-41355102030Stefano Morozzi01/2023
91002^338931+2349102029Stefano Morozzi12/2021
91012^338933+79935102029Stefano Morozzi01/2022
91022^338930+33819102029Stefano Morozzi03/2022
91032^338931-31555102029Stefano Morozzi03/2022
91042^338933+64169102029Stefano Morozzi05/2022
91052^338932-184965102029Stefano Morozzi06/2022
91062^338932+66943102029Stefano Morozzi09/2022
91072^338932+92995102029Stefano Morozzi09/2022
91082^338931+97001102029Stefano Morozzi11/2022
91092^338932-165453102029Stefano Morozzi01/2023
91102^338933-40899102029Stefano Morozzi01/2023
91112^338928+2367102028Stefano Morozzi12/2021
91122^338927+52779102028Stefano Morozzi01/2022
91132^338927-79539102028Stefano Morozzi02/2022
91142^338929+60819102028Stefano Morozzi03/2022
91152^338928-156959102028Stefano Morozzi03/2022
91162^338927-63919102028Stefano Morozzi12/2022
91172^338925+106631102027Stefano Morozzi01/2022
91182^338926+80235102027Stefano Morozzi01/2022
91192^338926+41607102027Stefano Morozzi09/2022
91202^338925+195435102027Stefano Morozzi11/2022
91212^338924-92885102027Stefano Morozzi02/2023
91222^338922-27291102026Stefano Morozzi12/2021
91232^338919-103849102025Stefano Morozzi01/2022
91242^338919+130221102025Stefano Morozzi01/2022
91252^338918-91967102025Stefano Morozzi02/2023
91262^338917+561057102025Boyan Hu03/2024
91272^338914-79121102024Stefano Morozzi02/2022
91282^338916+134047102024Stefano Morozzi03/2022
91292^338914-11315102024Stefano Morozzi12/2022
91302^338910+81027102023Stefano Morozzi01/2022
91312^338912+179821102023Stefano Morozzi01/2022
91322^338909+100769102022Stefano Morozzi11/2021
91332^338908-100839102022Stefano Morozzi12/2021
91342^338909-25951102022Stefano Morozzi12/2021
91352^338909+66845102022Stefano Morozzi09/2022
91362^338907+73509102022Stefano Morozzi11/2022
91372^338906-25823102021Stefano Morozzi12/2021
91382^338904+75951102021Stefano Morozzi12/2021
91392^338906+6685102021Stefano Morozzi01/2022
91402^338905+160365102021Stefano Morozzi03/2022
91412^338906+92617102021Stefano Morozzi09/2022
91422^338904+47065102021Stefano Morozzi11/2022
91432^338905+70427102021Stefano Morozzi11/2022
91442^338905-163975102021Stefano Morozzi12/2022
91452^338903+4155102020Stefano Morozzi01/2022
91462^338901+55571102020Stefano Morozzi01/2022
91472^338901-55479102020Stefano Morozzi02/2022
91482^338903+33555102020Stefano Morozzi03/2022
91492^338901+39777102020Stefano Morozzi05/2022
91502^338903+165981102020Stefano Morozzi06/2022
91512^338901-34863102020Stefano Morozzi06/2022
91522^338899-150051102019Stefano Morozzi12/2021
91532^338899+125951102019Stefano Morozzi12/2021
91542^338898+179623102019Stefano Morozzi01/2022
91552^338899-154467102019Stefano Morozzi02/2022
91562^338898-60753102019Stefano Morozzi06/2022
91572^338898+68635102019Stefano Morozzi09/2022
91582^338897-85963102019Stefano Morozzi12/2022
91592^338898+174129102019Stefano Morozzi02/2023
91602^338894-133295102018Stefano Morozzi04/2022
91612^338894+165573102018Stefano Morozzi06/2022
91622^338894-60957102018Stefano Morozzi06/2022
91632^338894-89463102018Stefano Morozzi01/2023
91732^338891-18885102017Enzo Doria05/2013
91642^338891+26499102017Stefano Morozzi12/2021
91652^338891-2625102017Stefano Morozzi12/2021
91662^338893+128727102017Stefano Morozzi01/2022
91672^338890-52965102017Stefano Morozzi01/2022
91682^338892-55467102017Stefano Morozzi02/2022
91692^338892-83393102017Stefano Morozzi04/2022
91702^338893+13649102017Stefano Morozzi05/2022
91712^338892+117957102017Stefano Morozzi09/2022
91722^338892-14643102017Stefano Morozzi01/2023
91742^338887+154029102016Stefano Morozzi01/2022
91752^338889-104293102016Stefano Morozzi02/2022
91762^338887+147741102016Stefano Morozzi11/2022
91772^338889+195975102016Stefano Morozzi11/2022
91782^338889-117873102016Stefano Morozzi02/2023
91792^338886+177159102015Stefano Morozzi12/2021
91802^338885+40425102015Stefano Morozzi06/2022
91812^338884-13053102015Stefano Morozzi12/2022
91822^338885-112569102015Stefano Morozzi12/2022
91832^338880+11341102014Stefano Morozzi03/2022
91842^338880-160383102014Stefano Morozzi06/2022
91852^338880-161627102014Stefano Morozzi12/2022
91862^338879-1059102013Stefano Morozzi12/2021
91872^338879-54525102013Stefano Morozzi02/2022
91882^338877-82813102013Stefano Morozzi03/2022
91892^338878-185883102013Stefano Morozzi06/2022
91902^338879-60355102013Stefano Morozzi06/2022
91912^338878+43719102013Stefano Morozzi09/2022
91922^338879+122049102013Stefano Morozzi11/2022
91932^338874-15063102012Stefano Morozzi01/2023
91942^338874+148993102012Stefano Morozzi02/2023
91952^338871+7679102011Stefano Morozzi02/2022
91962^338872+61141102011Stefano Morozzi03/2022
91972^338872-183923102011Stefano Morozzi04/2022
91982^338873+19527102011Stefano Morozzi09/2022
91992^338870+70719102011Stefano Morozzi11/2022
9200(19*10^102011+287)/9/3102011Alfred Reich11/2022
92012^338870-37571102011Stefano Morozzi12/2022
92022^338872-138573102011Stefano Morozzi12/2022
92032^338873-63843102011Stefano Morozzi12/2022
92042^338868-5985102010Stefano Morozzi02/2022
92052^338867+38079102010Stefano Morozzi05/2022
92062^338868+140437102010Stefano Morozzi06/2022
92072^338868-110175102010Stefano Morozzi06/2022
92082^338868+123337102010Stefano Morozzi11/2022
92092^338867-13327102010Stefano Morozzi12/2022
92102^338868-11279102010Stefano Morozzi12/2022
92112^338868-115685102010Stefano Morozzi01/2023
92122^338864+158191102009Stefano Morozzi02/2022
92132^338865-39699102009Stefano Morozzi01/2023
92142^338865-40789102009Stefano Morozzi01/2023
92152^338862+60433102008Stefano Morozzi03/2022
92162^338861-9453102008Stefano Morozzi04/2022
92172^338861+98067102008Stefano Morozzi11/2022
92182^338862+146545102008Stefano Morozzi11/2022
92192^338863-186207102008Stefano Morozzi12/2022
92202^338860-41429102008Stefano Morozzi01/2023
92212^338862-115833102008Stefano Morozzi01/2023
92222^338863+74259102008Stefano Morozzi02/2023
92232^338863-193017102008Stefano Morozzi02/2023
92242^338858-190185102007Stefano Morozzi01/2023
92252^338855+102141102006Stefano Morozzi12/2021
92262^338856-27173102006Stefano Morozzi12/2021
92272^338856-102839102006Stefano Morozzi01/2022
92282^338855+79629102006Stefano Morozzi01/2022
92292^338856+47755102006Stefano Morozzi11/2022
92302^338850+27987102005Stefano Morozzi01/2022
92312^338853+111791102005Stefano Morozzi04/2022
92322^338852+145797102005Stefano Morozzi11/2022
92332^338852-88497102005Stefano Morozzi12/2022
92342^338850+124843102005Stefano Morozzi02/2023
92352^338853-167695102005Stefano Morozzi02/2023
92362^338847+176013102004Stefano Morozzi12/2021
92372^338847-2365102004Stefano Morozzi12/2021
92382^338848+158941102004Stefano Morozzi03/2022
92392^338848+16671102004Stefano Morozzi06/2022
92402^338847-35061102004Stefano Morozzi06/2022
92412^338848+145063102004Stefano Morozzi11/2022
92422^338847-61885102004Stefano Morozzi12/2022
92432^338845+135831102003Stefano Morozzi03/2022
92442^338846+85695102003Stefano Morozzi03/2022
92452^338845+186525102003Stefano Morozzi04/2022
92462^338846-163473102003Stefano Morozzi12/2022
92472^338844-16077102003Stefano Morozzi01/2023
92482^338844-165143102003Stefano Morozzi01/2023
92492^338843-127261102002Stefano Morozzi12/2021
92502^338843+107205102002Stefano Morozzi02/2022


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 28 2025 10:26 (Time in France)

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